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Finding the Third Proportional to 181,180,640 and 277,040,354

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Solution

The third proportional to 181,180,640 and 277,040,354 is: 423,617,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,180,640 : 277,040,354 = 277,040,354 : x
  2. Step 2: Convert to fraction form
    181,180,640/277,040,354 = 277,040,354/x
  3. Step 3: Cross multiply
    181,180,640x = 277,040,354 × 277,040,354
  4. Step 4: Simplify right side
    181,180,640x = 76,751,357,744,445,312
  5. Step 5: Solve for x
    x = 76,751,357,744,445,312/181,180,640
  6. Step 6: Final answer
    x = 423,617,875.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.